Answer:
nickel = 200 coins
dimes = 300 coins
Step-by-step explanation:
let x be the nickels and
let y be the dimes
as per given:
x + y = 500 (1)
$.000134x + $.10y = $30 (2)
from equation (1)
x = 500 - y (3)
substituting the value of x from equation (3) into equation (2)
.000134(500 - y) + .10y = 30
.067 - .000134y + .10y = 30
.099866y = 30 - .067
y = 29.933 / .099866
= 299.73 = 300 dimes (4)
substituting the value of y from equation (4) into equation (3)
x = 500 - 300 = 200 nickels
thus,
nickel = 200 coins
dimes = 300 coins